Answer:
18x+24
Step-by-step explanation:
For this, you have to multiply 6 to the numbers inside the parenthesis.
SO, 6 x 3x and 6 x 4
6 x 3x=18x
6 x 4=24
The answer will be 18x+24
Answer: △DEF is congruent to △D'E'F' because you can map △DEF to △D'E'F' using a reflection across the x-axis, which is a rigid motion.
Explanation:
1) Reflections, rotations and translations are rigid transformations, because they do not modify the lengths of the segments nor the angles, so the images and the preimages are congruents.
2) Let's see what transformation map △DEF is to △D'E'F' by analyzing the vertices of preimage and image:
Preimage Image
D (-3, -1) D' (-3, 1)
E (2, -4) E' (2, 4)
F (4, -4) F' (4, 4)
As you see when the image is formed, the coordinate x of the image is kept, and the coordinate y is negated. This rule is (x, y) → (x, - y), which is the rigid transformation reflection across the x-axis.
Answer:
addition
Step-by-step explanation:
Answer:
Based on the model,the length of the wall is <u>9/8</u> ft, the width of the walk is 1/2 ft, and the height of the wall is <u>11/8</u>. The volume of the portion of security wall that Tim has constructed so far is <u>99/128</u> cu ft.
Step-by-step explanation:
In the picture attached, part of a security world castle is shown.
length: 9 blocks, which is equivalent to 9*(1/8) = 9/8 ft
height: 11 blocks, which is equivalent to 11*(1/8) = 11/8 ft
width: 1/2 ft
Volume: length*height*width = (9/8)*(11/8)*(1/2) = (9 * 11 * 1)/(8 * 8 * 2) = 99/128 cu ft